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Finding the Fourth Proportional to 649.04, 895.74 and 369.32

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Solution

The fourth proportional to 649.04, 895.74 and 369.32 is: 509.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.04 : 895.74 = 369.32 : x
  2. Step 2: Convert to fraction form
    649.04/895.74 = 369.32/x
  3. Step 3: Cross multiply
    649.04x = 895.74 × 369.32
  4. Step 4: Simplify right side
    649.04x = 330,814.70
  5. Step 5: Solve for x
    x = 330,814.70/649.04
  6. Step 6: Final answer
    x = 509.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.